scientific article; zbMATH DE number 3630170
From MaRDI portal
Publication:4191552
zbMath0405.65062MaRDI QIDQ4191552
Publication date: 1979
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boundary Value ProblemNumerical ExperimentsHomogenized OperatorHomogenization MethodPeriodic Behavior of the Solution
Boundary value problems for second-order elliptic equations (35J25) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items
Analysis of the heterogeneous multiscale method for elliptic homogenization problems ⋮ Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures ⋮ A second-order reduced multiscale approach for non-linear axisymmetric structures with periodic configurations ⋮ A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations ⋮ Three-phase model for a composite material with cylindrical circular inclusions. II: Application of Padé approximants ⋮ Numerical results on the homogenization of Stokes and Navier-stokes equations modeling a class of problems from fluid mechanics ⋮ Spectral element method for elliptic equations with periodic boundary conditions ⋮ Modular-topology optimization of structures and mechanisms with free material design and clustering ⋮ Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis ⋮ Generating optimal topologies in structural design using a homogenization method ⋮ A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites ⋮ A second-order strain gradient fracture model for the brittle materials with micro-cracks by a multiscale asymptotic homogenization ⋮ Effective properties of composite materials with periodic microstructure: A computational approach ⋮ Zeroth and first-order homogenized approximations to nonlinear diffusion through block inclusions by an analytical approach ⋮ Design of optimized architected structures with exact size and connectivity via an enhanced multidomain topology optimization strategy ⋮ A model with length scales for composites with periodic structure. Steady state heat conduction problem. I. Formulation ⋮ Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions ⋮ Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents. I: Elastic and hexagonal symmetry ⋮ Numerical methods for multiscale elliptic problems ⋮ Iterated two-scale asymptotic method and numerical algorithm for the elastic structures of composite materials ⋮ A novel second-order reduced homogenization approach for nonlinear thermo-mechanical problems of axisymmetric structures with periodic micro-configurations ⋮ Analytical Effective Coefficient and First-Order Approximation to Linear Darcy’s Law through Block Inclusions ⋮ Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method ⋮ A high-order three-scale reduced asymptotic approach for thermo-mechanical problems of nonlinear heterogeneous materials with multiple spatial scales ⋮ Multiphase composites with extremal bulk modulus ⋮ A new class of extremal composites ⋮ The black box multigrid numerical homogenization algorithm ⋮ Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients